1993416180 has 48 divisors (see below), whose sum is σ = 6378933120. Its totient is φ = 455637888.

The previous prime is 1993416167. The next prime is 1993416199. The reversal of 1993416180 is 816143991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372695 + ... + 2373534.

It is an arithmetic number, because the mean of its divisors is an integer number (132894440).

Almost surely, 2^1993416180 is an apocalyptic number.

1993416180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993416180 is an abundant number, since it is smaller than the sum of its proper divisors (4385516940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1993416180 is a wasteful number, since it uses less digits than its factorization.

1993416180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746248 (or 4746246 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1993416180 is about 44647.6895258870. The cubic root of 1993416180 is about 1258.5370145076.

The spelling of 1993416180 in words is "one billion, nine hundred ninety-three million, four hundred sixteen thousand, one hundred eighty".